Orthocentre of the triangle formed by (-1,-3),(-1,4),(5,-3) is
Answers
Given : triangle formed by (-1,-3),(-1,4),(5,-3)
To find : Orthocentre of the triangle
Solution:
A (- 1 , - 3)
B (-1 , 4)
C ( 5 , - 3)
Orthocenter of triangle is the point where altitude meets
Slope of AB = ( 4 -(-3))/(-1 - 1) = 7/0
Slope of CD = 0 CD ⊥ AB
CD
y - (-3) = 0(x - 5)
=> y = - 3
Slope of AC = (-3 -(-3)/(5 -(-1)) = 0
Slope of BE = 1/0 BE ⊥ AC
BE
y - 4 = (1/0)( x - (-1))
=> 0 = x + 1
=> x = - 1
x = - 1 , y = - 3
(-1 , -3) is the orthocenter of the triangle formed by (-1,-3),(-1,4),(5,-3)
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Answer: the above answer had been mistaken near slope of AB please check it
Given : triangle formed by (-1,-3),(-1,4),(5,-3)
To find : Orthocentre of the triangle
Solution:
A (- 1 , - 3)
B (-1 , 4)
C ( 5 , - 3)
Orthocenter of triangle is the point where altitude meets
Slope of AB = ( 4 -(-3))/(-1 + 1) = 7/0
Slope of CD = 0 CD ⊥ AB
CD
y - (-3) = 0(x - 5)
=> y = - 3
Slope of AC = (-3 -(-3)/(5 -(-1)) = 0
Slope of BE = 1/0 BE ⊥ AC
BE
y - 4 = (1/0)( x - (-1))
=> 0 = x + 1
=> x = - 1
x = - 1 , y = - 3
(-1 , -3) is the orthocenter of the triangle formed by (-1,-3),(-1,4),(5,-3)
Step-by-step explanation:
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